Supersymmetric contributions to time independent asymmetry in $B_s^0\to J/\psi \varphi$ process are analyzed in view of recent Tevatron experimental measurements. We show that the experimental limits of the mass difference $\Delta M_{B_s}$ and the mercury electric dipole moment significantly constrain the supersymmetric (SUSY) contribution to $B_s^0\mathrm{\text{−}}{\overline{B}}_s^0$ mixing, so that $\sin 2{\beta }_s\lesssim 0.1$. We also point out that the one loop SUSY contribution to $B_s^0\to J/\psi \varphi$ decay can be important and can lead to large indirect $CP$ asymmetries which are different for different polarization states. These new physics effects in the decay amplitude can be consistent with $CP$ measurements in the $B_d$ system.

• Received 6 June 2009

DOI:https://doi.org/10.1103/PhysRevD.80.075006